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Finding the Fourth Proportional to 29,697.99, 40,983.75 and 20,269.59

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Solution

The fourth proportional to 29,697.99, 40,983.75 and 20,269.59 is: 27,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.99 : 40,983.75 = 20,269.59 : x
  2. Step 2: Convert to fraction form
    29,697.99/40,983.75 = 20,269.59/x
  3. Step 3: Cross multiply
    29,697.99x = 40,983.75 × 20,269.59
  4. Step 4: Simplify right side
    29,697.99x = 830,723,809.16
  5. Step 5: Solve for x
    x = 830,723,809.16/29,697.99
  6. Step 6: Final answer
    x = 27,972.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.